Greatest Common Factor of 7621/542, 6356/8302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7621/542, 6356/8302

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 7621/542,6356/8302

Given fractions are 7621/542,6356/8302

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 7621,6356

Greatest Common Factor of Numerators i.e. GCF of 7621,6356 is 1 .

LCM of Denominators means LCM of 542,8302 as per the given fractions.

LCM of 542,8302 is 2249842 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7621,6356

GCF of Fractions 7621/542,6356/8302 is 1/2249842

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7621,6356 By Matching Biggest Common Factor Method

Greatest Common Factor of 7621,6356 By Matching Biggest Common Factor Method

Factors of 7621

List of positive integer factors of 7621 that divides 7621 without a remainder.

1,7621

Factors of 6356

List of positive integer factors of 6356 that divides 6356 without a remainder.

1,2,4,7,14,28,227,454,908,1589,3178,6356

Greatest Common Factor

We found the factors 7621,6356 . The biggest common factor number is the GCF number.
So the greatest common factor 7621,6356 is 1.

Lets's calculate LCM of 542,8302

2 542, 8302
271, 4151

∴ So the LCM of the given numbers is 2 x 271 x 4151 = 2249842

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2249842

Therefore, the GCF of Fractions 7621/542,6356/8302 is 1/2249842

Least Common Multiple of 542,8302 with GCF Formula

Least Common Multiple of 542,8302 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 542,8302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,8302) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(542,8302) x common factors =2 x 1 = 2

LCM(542,8302) = ( 542 × 8302 ) / 2

LCM(542,8302) = 4499684 / 2

LCM(542,8302) = 2249842


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 7621/542, 6356/8302

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 7621/542, 6356/8302?

Answer: GCF of Numerators as per given numbers 7621/542, 6356/8302 is

GCF of Numerators i.e. for 7621,6356 is 1

LCM of denominators i.e. for 542,8302 is 2249842.

Thus, GCF of Fractions is 1/2249842.Finally, GCF of Fractions for 7621/542, 6356/8302 is 1/2249842.